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curve #1433

y² = x³ + 2949x − 30490

a-invariants: [0, 0, 0, 2949, -30490]
rank (lower bound): ≥ 2
torsion subgroup: ℤ/4ℤ
conductor (N): 9576
discriminant (Δ): -2042966209536
Faltings height: 1.0505
naive height: 35.5813
primes of bad reduction: 2, 3, 7, 19
regulator: 5.60247275597320425378027724967838582101398
submitted by: Michael Rubinstein
submitted at: 2026-09-24 23:43:18 UTC
last updated: 2026-09-24 23:43:18 UTC

Witness: 2 independent points log in to add more points →

(19, 180)
(35, 340)

Commentary

Torsion Z/4. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-24 23:43:19 UTC · history

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